Question

Write (26 + 16i) − (26 − 7i) as a complex number in standard form. A. 52 − 9i B. 52 − 23i C. -9i D. 23i

Answer 1

D. 23i.

Explanation:

(26 + 16i) − (26 − 7i)

Using the distributive law this becomes:

26 + 16i - 26 + 7i

Adding like terms:

= 0 + 16i + 7i

= 23i (answer).

Answer 2

Choice D is correct.

Explanation:

(26+16i)-(26-7i)

Applying distributive law on the above expression we get

26+16i-26+7i

26-26+16i+7i

Adding coefficients of i and constant

0+23i

23i Which is the answer.